Write an example conversation that led to this. This: For instance, an incoming job can never see all "'k" jobs present at node "i", because it itself cannot be among the jobs already present." For Poisson processes the property is often referred to as the PASTA property (Poisson Arrivals See Time Averages) and states that the probability of the state as seen by an outside random observer is the same as the probability of the state seen by an arriving customer.
Preceding conversation: DIALOG:
What is the difference between a steady state and an arbitrary state?
- Arrival theorem In queueing theory, a discipline within the mathematical theory of probability, the arrival theorem (also referred to as the random observer property, ROP or job observer property) states that "upon arrival at a station, a job observes the system as if in steady state at an arbitrary instant for the system without that job." The arrival theorem always holds in open product-form networks with unbounded queues at each node, but it also holds in more general networks.
- Are there any other interesting aspects about this article?
- A necessary and sufficient condition for the arrival theorem to be satisfied in product-form networks is given in terms of Palm probabilities in Boucherie & Dijk, 1997.
- Do you know why this is necessary?
- A similar result also holds in some closed networks.
- Can you tell me what some closed networks are?
- Examples of product-form networks where the arrival theorem does not hold include reversible Kingman networks and networks with a delay protocol.
- Why do they not hold?
- Mitrani offers the intuition that "The state of node "i" as seen by an incoming job has a different distribution from the state seen by a random observer.
- Can you tell me why it has a different distribution?
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Write an example conversation that led to this. This: Hydrogenophaga laconesensis Hydrogenophaga laconesensis is a Gram-negative, non-spore-forming and motile bacterium from the genus of "Hydrogenophaga" which has been isolated from well water.
Preceding conversation: DIALOG:
What is the difference between Hydrogenophaga laconesensis ?
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Write an example conversation that led to this. This: Notably they can be seen in the arms of Aberdeen Grammar School, Robert Gordons College, Robert Gordon University and the University of Aberdeen.
Preceding conversation: DIALOG:
What is the meaning of Coat of arms of Aberdeen?
- Coat of arms of Aberdeen The coat of arms of Aberdeen consists of three towers within a border decorated with fleurs-de-lis.
- When was it adopted?
- This design is known to have been used on city seals from the 15th century onwards, if not earlier.
- What are the significances of the Towers?
- The three towers represent the three buildings that stood on the three hills of mediaeval Aberdeen: Aberdeen Castle on Castle Hill, the city gate on Port Hill, and a chapel on St Catherine's Hill.
- Are the buildings still there?
- The latter two are no longer in existence, and St Catherine's Hill has in fact been levelled.
- Are the 3 towers used in the modern logo?
- Conversely the image of a single tower, rather than the triple, is often used in the city.
- Are the 3 towers used in any other places?
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Write an example conversation that led to this. This: The collection on Sunday saw a jump as it went to 290million, to take it to a weekend total of 820million.
Preceding conversation:
DIALOG:
how much did kick earn in pakistan
- Kick earned 20.01 Crore From Pakistan.
- how much did kick earn worldwide
- "Kick " was one of the highest grossing Hindi films at the time, with a final worldwide gross collection of .
- what did kick earn on its opening day
- On its opening day, "Kick" earned around 260million, making it the second highest non-holiday opening grosser behind "Dhoom 3".
- what did kick earn on its second day
- The film had a similar collection on its second day, at around 270million.
- what did kick earn on its third day
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